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  • Basic mathematical apparatus of quantum mechanics like the wave function, probability density, probability density current, coordinate and momentum operators, corresponding commutation relation, Schrodinger equation, kinetic energy, uncertainty relations and continuity equation is discussed from the point of view of mathematical statistics. It is shown that the basic structure of quantum mechanics can be understood as generalization of classical mechanics in which the statistical character of results of measurement of the coordinate and momentum is taken into account and the most important general properties of statistical theories are correctly respected.
  • Basic mathematical apparatus of quantum mechanics like the wave function, probability density, probability density current, coordinate and momentum operators, corresponding commutation relation, Schrodinger equation, kinetic energy, uncertainty relations and continuity equation is discussed from the point of view of mathematical statistics. It is shown that the basic structure of quantum mechanics can be understood as generalization of classical mechanics in which the statistical character of results of measurement of the coordinate and momentum is taken into account and the most important general properties of statistical theories are correctly respected. (en)
Title
  • Quantum mechanics as applied mathematical statistics
  • Quantum mechanics as applied mathematical statistics (en)
skos:prefLabel
  • Quantum mechanics as applied mathematical statistics
  • Quantum mechanics as applied mathematical statistics (en)
skos:notation
  • RIV/00216208:11320/11:10089993!RIV12-MSM-11320___
http://linked.open...avai/predkladatel
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  • Z(MSM0021620835)
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  • 5
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  • 225449
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  • RIV/00216208:11320/11:10089993
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  • Schrodinger equation; Hamilton-Jacobi equation; Mathematical statistics; Quantum mechanics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [0BABB9AA88BA]
http://linked.open...i/riv/nazevZdroje
  • Annals of Physics
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 326
http://linked.open...iv/tvurceVysledku
  • Kapsa, Vojtěch
  • Skála, Lubomír
  • Čížek, Jiří
http://linked.open...ain/vavai/riv/wos
  • 000289968300005
http://linked.open...n/vavai/riv/zamer
issn
  • 0003-4916
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.aop.2010.09.010
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  • 11320
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